Rice Lake Weigh Modules/Mount Assemblies - Manual (Page 20)

SYSTEM DESIGN
1-18
Calculating Tank Volumes
Example 4
Calculate the volume of material in the hopper shown below.
5'
3'
3'
6'
2'
7'
5'
12'
For ease of calculation, this may be broken into 2 sections as
follows:
Step 1
The volume of section (a) is given by:
Volume = ABh
= 5 x 7 x 6.7 = 234.5 cu ft
5'
(a)
6'
2'
6.7'
where the “leveled height” is assumed to be 6.7'.
Step 2
The volume of section (b) is given by:
Volume =
h
6
2 AB
+
Ab
+
aB
+
2ab
( )
5'
3'
3'
(b)
= x ((2 x 5 x 7) + (5 x 5) + (3 x 7) + (2 x 3 x 5))
= x 146 = 73.0 cu ft
Step 3
Total Volume=Volume (a) + Volume (b)
= 234.5 + 73.0
= 307.5 cu ft
Example 5
If, in the last example, the vessel was filled to overflowing, then the
volume would be :
Volume(Total) =Volume (a) + Volume (b)
Volume(b) is same as the previous example (73.0 cu ft)
Volume(a) = 5 x 7 x 9.7 = 339.5 cu ft
9.7'
Volume (a)
Volume (b) 3'
Volume(Total) = 339.5 + 73.0 = 412.5 cu ft
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6
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6